Finding the Third Proportional to 284,894 and 614,920
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Solution
The third proportional to 284,894 and 614,920 is: 1,327,253.67
Step by Step Solution
- Step 1: Write the proportion equation
284,894 : 614,920 = 614,920 : x - Step 2: Convert to fraction form
284,894/614,920 = 614,920/x - Step 3: Cross multiply
284,894x = 614,920 × 614,920 - Step 4: Simplify right side
284,894x = 378,126,606,400 - Step 5: Solve for x
x = 378,126,606,400/284,894 - Step 6: Final answer
x = 1,327,253.67
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Why These Related Problems?
These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.